Topic 3 Test: Proportional Relationships (2024)

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What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

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How do you calculate the unit rate from a total cost and quantity?

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To find the unit rate, divide the total cost by the total quantity. For example, if a box of cereal costs $3.59 for 30 oz, the unit rate is $3.59 ÷ 30 oz = $0.1197, which rounds to 12 cents per ounce.

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What does it mean for a relationship to be proportional?

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A relationship is proportional if two quantities maintain a constant ratio. This means that as one quantity increases or decreases, the other does so in a consistent manner.

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How can you determine if a graph represents a proportional relationship?

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A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

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What is the constant of proportionality?

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The constant of proportionality is the ratio between two proportional quantities. It is the factor by which one quantity is multiplied to obtain the other.

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How do you set up a proportion to solve for an unknown?

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To set up a proportion, create a fraction that compares two ratios. For example, if you know the cost for 6 people is $39, you can set up the proportion: 39/6 = x/9, where x is the cost for 9 people.

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What is the formula for finding the cost per item?

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The formula for finding the cost per item is: Cost per item = Total cost ÷ Number of items.

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How do you find the best deal when comparing prices?

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To find the best deal, calculate the price per item for each option and compare them. The option with the lowest price per item is the best deal.

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another.

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How do you calculate the total cost for a different number of items based on a known cost?

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To calculate the total cost for a different number of items, use the unit rate or constant of proportionality. Multiply the unit cost by the new quantity.